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" THE diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater than one more remote ; and the greater is nearer to the centre than the less.* Let ABCD be a circle, of which... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Pàgina 61
per John Playfair - 1855 - 318 pàgines
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901 - 368 pàgines
...figure. 6. Prove that the diameter is the greatest straight line in a circle, and that, of all others, that which is nearer to the centre is always greater than one more remote. 7. Prove that the opposite angles of any quadrilateral figure inscribed in a circle are together equal...
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Calendar of the University of Sydney

University of Sydney - 1902 - 640 pàgines
...of the alternate angles B, D 8. The diameter is the greatest chord in a circle ; and, of all others, that which is nearer to the centre is always greater than one more remote. A chord 12 inches in length is placed in a circle, the diameter of which is 1 3 inches in length. How...
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A Text-book of Euclid's Elements for the Use of Schools, Llibre 1

Euclid - 1904 - 488 pàgines
...chords, that which is nearer to the centre is greater than one more remote. Conversely, the greater chord is nearer to the centre than the less. Let ABCD be a circle of which AD is a diameter, and E the centre ; and let BC and FG be any two chords, whose perp. distances from...
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Calendar, Part 3

University of Calcutta - 1907 - 446 pàgines
...algebraical formula 4. The diameter is the greatest straight line in a circle; and of all 8 others, that which is nearer to the centre is always greater than one more remote ; and the grenter is nearer to the centre than the less. Through a given point within a circle draw the least...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897 - 710 pàgines
...and the acute angle. 4. The diameter is the greatest straight line in a circle, and, of all others, that which is nearer to the centre is always greater...the greater is nearer to the centre than the less. 5. If from any point without a circle two straight lines be drawn, one of which cuts the circle and...
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Parliamentary Papers, Volum 43

Great Britain. Parliament. House of Commons - 1863 - 616 pàgines
...sum and difference. 7. The diameter is the greatest straight line in a circle ; and, of all others, that which is nearer to the centre is always greater than one more remote. 8. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...
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